We look at the division of 100435 by 71 
We want to figure out the number of times 100435 can be divided by 71.

On to step 1:
The number 71 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 71

Let's proceed to step 2:
If we divide 10 by 71, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 71

Going ahead to step 3:
If we divide 100 by 71, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 29 after subtracting 71 from 100.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 71

Advancing to step 4:
When dividing 294 by 71, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtract 284 from 294 to get 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 71

Moving on to step 5:
When dividing 103 by 71, we get 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 141.0
If we subtract 71 from 103, we get 32.
Bring next digit (5) of the dividend behind the 32 and repeat the process: 325 / 71

Let's proceed to step 6:
325 divided by 71 is 4 with a remainder of 41.
Put 4 as the next digit of the answer. 
Result so far: 1414.0
Subtract 284 from 325 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
410 divided by 71 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 1414.5
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 8:
The number 71 fits into 550 7 times, leaving a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 1414.57
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 9:
The number 71 fits into 530 7 times, leaving a remainder of 33.
The next digit of our result is 7. 
Result so far: 1414.577
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 1414.577 with a remaining 0.0033.